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380997720 = 233254432389
BaseRepresentation
bin10110101101011…
…001000001011000
3222112220200121200
4112231121001120
51240013411340
6101450034200
712304266345
oct2655310130
9875820550
10380997720
11186077254
12a7718960
1360c1a34c
14388597cc
15236ad330
hex16b59058

380997720 has 96 divisors (see below), whose sum is σ = 1241557200. Its totient is φ = 101327616.

The previous prime is 380997713. The next prime is 380997739. The reversal of 380997720 is 27799083.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158286 + ... + 160674.

Almost surely, 2380997720 is an apocalyptic number.

380997720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380997720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620778600).

380997720 is an abundant number, since it is smaller than the sum of its proper divisors (860559480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

380997720 is a wasteful number, since it uses less digits than its factorization.

380997720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 380997720 is about 19519.1628918865. The cubic root of 380997720 is about 724.9490063222.

The spelling of 380997720 in words is "three hundred eighty million, nine hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 443 886 1329 1772 2215 2389 2658 3544 3987 4430 4778 5316 6645 7167 7974 8860 9556 10632 11945 13290 14334 15948 17720 19112 19935 21501 23890 26580 28668 31896 35835 39870 43002 47780 53160 57336 71670 79740 86004 95560 107505 143340 159480 172008 215010 286680 430020 860040 1058327 2116654 3174981 4233308 5291635 6349962 8466616 9524943 10583270 12699924 15874905 19049886 21166540 25399848 31749810 38099772 42333080 47624715 63499620 76199544 95249430 126999240 190498860 380997720